Question

A card is drawn from the set of number cards numbered from
8 to 27. Find the probability that the drawn card is divisible
1
by 6 or 7 without remainder.
Ans:
1/4​

Answer 1

Answer:

total number of outcomes = 20

no. of favourable outcomes= 5 { 12; 14; 18; 21; 24}

probability = 5/20

= 1/4

Answer 2

Concept:

The proportion between the number of events that can occur and all of the outcomes is known as probability. Probability is never greater than one.

Given:

A deck of cards with numbers on them from 8 to 27.

There are 20 cards in all.

Find:  

We are asked to seek out the probability that the drawn card is divisible by 6 or 7 without remainder.

Solution:

We have,

Total number of outcomes (cards) = 20

Now,

Numbers that are divisible by 6,

12, 18, 24

i.e. Numbers that are divisible by 6 = 3

Now,

Numbers that are divisible by 7,

14, 21

i.e. Numbers that are divisible by 7 = 2

So,

Total numbers that are divisible by 6 or 7 without remainder = 3 + 2 = 5

So,

Probability of the drawn card = 5/20 = 1/4 = 0.25

Hence we can say that the probability that the drawn card is divisible by 6 or 7 without remainder is 0.25.

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